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Pressure verses temperauture graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative.

Option: 1

V_1=V_2, V_3=V_4 \text { and } V_2>V_3


Option: 2

V_1=V_2, V_3=V_4 \text { and } V_2<V_3


Option: 3

V_1=V_2=V_3=V_4


Option: 4

V_4>V_3>V_2>V_1


Answers (1)

best_answer

From ideal gas equation, P V=\mu R T

Slope of p-T curve, \frac{P}{T}=\frac{\mu R}{V}

\operatorname{slope} \propto \frac{1}{V}

It means line of smaller slope represent greater volume of gas. In the given problems, 1and 2 are on the same line so they will represent same volume, i.e.  V_1=V_2

Similarly, Points 3 and 4 are on the same line so they will represent same volume, i.e. V_3=V_4

Also, slope of line 1-2 is less than 3-4.

Hence, \left(V_1=V_2\right)>\left(V_3=V_4\right)

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